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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Iitaka's fibrations via multiplier ideals


Author: Shigeharu Takayama
Journal: Trans. Amer. Math. Soc. 355 (2003), 37-47
MSC (2000): Primary 14E05; Secondary 14D06, 14C20
Published electronically: June 24, 2002
MathSciNet review: 1928076
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Abstract: We give a new characterization of Iitaka's fibration of algebraic varieties associated to line bundles. Introducing an ``intersection number'' of line bundles and curves by using the notion of multiplier ideal sheaves, Iitaka's fibration can be regarded as a ``numerically trivial fibration'' in terms of this intersection theory.


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Additional Information

Shigeharu Takayama
Affiliation: Graduate School of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japan
Email: taka@math.kyushu-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03068-4
PII: S 0002-9947(02)03068-4
Keywords: Iitaka's fibration, multiplier ideal, numerically trivial
Received by editor(s): December 5, 2001
Received by editor(s) in revised form: January 28, 2002
Published electronically: June 24, 2002
Dedicated: Dedicated to Professor Shigeru Iitaka on his sixtieth birthday
Article copyright: © Copyright 2002 American Mathematical Society